134500670720 has 144 divisors (see below), whose sum is σ = 367363337040. Its totient is φ = 46740406272.

The previous prime is 134500670719. The next prime is 134500670729. The reversal of 134500670720 is 27076005431.

134500670720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 169624576 + 134331046144 = 13024^2 + 366512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134500670729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45146 + ... + 520614.

It is an arithmetic number, because the mean of its divisors is an integer number (2551134285).

Almost surely, 2^134500670720 is an apocalyptic number.

134500670720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134500670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183681668520).

134500670720 is an abundant number, since it is smaller than the sum of its proper divisors (232862666320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134500670720 is a wasteful number, since it uses less digits than its factorization.

134500670720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475520 (or 475506 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 134500670720 in words is "one hundred thirty-four billion, five hundred million, six hundred seventy thousand, seven hundred twenty".